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Computing Center Conditions for Non-analytic Vector Fields with Constant Angular Speed

Authors: Li Feng


We investigate the planar quasi-septic non-analytic systems which have a center-focus equilibrium at the origin and whose angular speed is constant. The system could be changed into an analytic system by two transformations, with the help of computer algebra system MATHEMATICA, the conditions of uniform isochronous center are obtained.

Keywords: Non-analytic, center–focus problem, Lyapunov constant, uniform isochronous center.

Digital Object Identifier (DOI):

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[1] Y. Lin, J. Li, Normal form and critical points values of the period of closed orbits for planar autonomous systems, Acta. Math. Sinica. 34 (1991),490-501.
[2] J. Chavarriga and M. Sabatini,A Survey of IsochronousCenters,Qualitative Theory of 1, (1999),1-70.
[3] A. Algaba, M. Reyes, and A. Bravo,Geometry of the Uniformly Isochronous Centers with Polynomial Commutators, Differential Equations Dynamical Systems 10, (2002),257-275.
[4] A. Algaba and M. Reyes,Computing Center Conditions for Vector Fields with Constant Angular Speed, J. Comput. Appl.Math. 154, (2003),143- 159.
[5] R.Conti,Centers of Planar Polynomial Systems, A Review,Mathematiche 2, (1998),207-240.
[6] Y. Liu, J. Li, Theory of values of singular point in complex autonomous differential system. Sci. China (Series A) 3 (1989),245-255.
[7] R.Conti,uniform isochronous centers of polynomial systems in R2, Lecture Notes in Pure and Appl.Math 152 (1994),21-31.